Well George, we've slept on it for 9 months now, and there has recently been a request on one of the facebook groups, for someone to add the corresponding Sagittal notation(s) to every EDO entry in the Xenharmonic Wiki. So we really ought to decide whether these will become the new standard notations for these poor-fifth EDOs, and update figures 8 and 9 on pages 16 and 17 of (the updated Xenharmonikon journal article) accordingly.

Since no one else is arguing, I suggest that we both attempt to come up with reasons why the existing notations for these EDOs should not be changed, or should be changed in ways different from this proposal. i.e. play devil's advocate. For this purpose, it is useful to repost this diagram.

There are eleven existing native-fifth notations that would change under this proposal. These can be grouped as follows. You should locate each group on the above diagram.

Near-superpythagorean (amber): 27, 49 (also includes 54 (2x27) and 71, which don't presently have native fifth notations)

Near-meantone: (red) 26, 45, 64 (also includes 52 (2x26), which doesn't presently have a native fifth notation)

Narrow fifths with one step per apotome (red): 33, 40, 47

Mavila, -1 step per apotome (red): 9, 16, 23

I note that 27 is not simplified by this proposal, since 1\27 changes from the spartan

to the non-spartan

. Nor is 26 simplified, as it goes from being notated only with sharps and flats (apotomes), to requiring spartan symbols (for limma fractions).

One could argue that the blue area on the diagram (JI-based notations) should be expanded to include the first two categories above. This would change the boundaries, in fifth sizes, from +-7.5 c of just, to +-10 c of just. We might continue to show how apotome and limma fraction notations can be defined for those with fifth errors between 7.5 c and 10 c, but we need not list them as the standard native-fifth notations for those EDOs (the first two categories above).

People who think of 9, 16 and 23 in terms of the Mavila temperament, might be upset when we change their notations to use limma fractions, where the same number of degrees may have a different symbol in each of the three EDOs. A similar complaint could be leveled against changing the 33, 40, 47 group which presently have a sort of apotome-fraction notation.

The two middle groups above might all be coloured amber on the chart, because they all have a positive number of steps per apotome. But their apotome-fraction notation would need to be very different from that used in the amber region on the left of the above diagram.

I refer you back to these posts where I considered similar options.

Edit: Here's a diagram that makes it easier to locate the 4 contentious groups of EDOs: